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m_a_m_a [10]
1 year ago
9

Factor completely 4x^2 − 32

Mathematics
1 answer:
Blababa [14]1 year ago
4 0

Answer: 4(x+2\sqrt{2})(x-2\sqrt{2})

Step-by-step explanation:

We can first take out the common factor of 4, as both 4x² and -32 are divisible by 4.

4(x^2-8)

From here, we can assume that x²-8 is a difference of two squares even though 8 is not a perfect square.

<em>For review, a difference of two squares </em>a^2-b^2 can be factored into (a+b)(a-b).

4(x^2-8)\\4(x+\sqrt{8})(x-\sqrt{8})\\4(x+2\sqrt{2})(x-2\sqrt{2})

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This is the graph of the equation

8 0
3 years ago
Camille bought 3 pounds of nuts for 10.35. What is the unit price per pound?
dusya [7]
3.45. All you have to do is divide 10.35 by 3.
8 0
3 years ago
Read 2 more answers
If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v
pochemuha

Answer:

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = 5000(1 - \frac{1}{40}t )^2  , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = 2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )

V'(t) = 2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )

When we simplify the above, we get

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0
4 years ago
Can someone please help me with b, d, and 9-13? I already drew a number line, thanks in advance! :)
inessss [21]
B)
\frac{3}{13}  = s
d)
\frac{5}{4}  = s
9) I'm not really sure how to answer it, but I guess like 2.1, 2.2, 2.5, etc.,

10)
{2}^{2}  = 4
{3}^{2}  = 9
so {5, 6, 7, 8} is the answer

11) for some reason it won't let me insert a picture but put place
\sqrt{4}
above 2, and then place
\sqrt{9}
above 3, and then place
\sqrt{7}
in between 2 and 3, but place it a little closer to three since
\sqrt{7}  = 2.65
12) place
\sqrt{5}
between 2 and three, but closer to two since
\sqrt{5}  = 2.24
and also
\sqrt{5}  <  \sqrt{7}
and for number 13) the square root of 144 is 12, and the square root of 169 is 13, so any numbers between 12 and 13 will work.


I hope this helped and if not, message me and ill try to explain!
8 0
3 years ago
How I can answer this question, NO LINKS, if you answer correctly I'll give u brainliest!
OverLord2011 [107]

Answer:

The answer is : A

Step-by-step explanation:

Hope this helps!!! :)

5 0
2 years ago
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